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Math 154A/Payne Angel/Exam 4 Review/Chapter 4 Your exam will be on Wednesday, April 22nd. It will cover Chapter 4 and have a value of 100 points. You will have the entire time, lecture and lab, to take the exam. That’s 2 hours, 5 minutes. It will model the Chapter 4 Practice Test in your book on page 296, problems 1 – 17. You need to be able to: 1. identify the parts of the Cartesian (rectangular) coordinate system. 2. determine if an ordered pair is a solution to (satisfies) a given equation. 3. by looking at the graph of a line, determine if the slope is positive, negative, zero, or undefined. 4. given two ordered pairs, calculate the slope. 5. determine the slope of a line from its graph. 6. given two equations, (or two slopes), determine if they represent parallel lines, perpendicular lines, or neither. 7. rewrite an equation, putting it into slope-intercept form (y = mx + b), and identify the slope and the y-intercept. 8. write an equation given its graph. 9. graph linear equations is all their forms, including horizontal and vertical lines, using the three techniques of point-plotting, x- and y-intercepts, and slope and y-intercept . 10. write in slope-intercept form (y = mx + b) the equation of a line given its slope and a point on the line. (Remember you have to start with point-slope form: y – y1 = m(x – x1)) 11. write the equation of a line given two points on the line. (Remember here you have to start by calculating the slope, and then use point-slope form before you can end with slopeintercept form.) Formulas to remember: A. Slope formula: y 2 y1 m x 2 x1 parallel lines have equal slopes perpendicular lines have opposite reciprocal slopes B. Forms of Linear Equations in Two Variables 1) Standard Form: ax + by = c 2) Horizontal line crossing the y-axis at b: y = b (slope is 0) 3) Vertical line crossing the x-axis at a: x = a (slope is undefined) 4) Slope-Intercept Form: y = mx + b 5) Point-Slope Form: y y 1 m( x x 1 ) C. When finding the equation of a line, begin with the 1) slope-intercept form if you know a) the slope of the line and the y-intercept. 2) point-slope form if you know a) the slope of the line and a point on the line, or b) two points on the line (first find the slope, then use the point-slope form)